Greatest Common Factor of 617/92, 683/60, 150/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 617/92, 683/60, 150/369

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 617/92,683/60,150/369

Given fractions are 617/92,683/60,150/369

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 617,683,150

Greatest Common Factor of Numerators i.e. GCF of 617,683,150 is 1 .

LCM of Denominators means LCM of 92,60,369 as per the given fractions.

LCM of 92,60,369 is 169740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 617,683,150

GCF of Fractions 617/92,683/60,150/369 is 1/169740

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 617,683,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,683,150 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 617,683,150 . The biggest common factor number is the GCF number.
So the greatest common factor 617,683,150 is 1.

Lets's calculate LCM of 92,60,369

2 92, 60, 369
2 46, 30, 369
3 23, 15, 369
23, 5, 123

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 5 x 123 = 169740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169740

Therefore, the GCF of Fractions 617/92,683/60,150/369 is 1/169740

Least Common Multiple of 92,60,369 with GCF Formula

Least Common Multiple of 92,60,369 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 92,60,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,60,369) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(92,60,369) x common factors =1 x 12 = 12

LCM(92,60,369) = ( 92 × 60 × 369 ) / 12

LCM(92,60,369) = 2036880 / 12

LCM(92,60,369) = 169740


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 617/92, 683/60, 150/369

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 617/92, 683/60, 150/369?

Answer: GCF of Numerators as per given numbers 617/92, 683/60, 150/369 is

GCF of Numerators i.e. for 617,683,150 is 1

LCM of denominators i.e. for 92,60,369 is 169740.

Thus, GCF of Fractions is 1/169740.Finally, GCF of Fractions for 617/92, 683/60, 150/369 is 1/169740.